document.write( "Question 1204628: Alyssa emptied out her change jar to buy a new binder for school. She found 147
\n" ); document.write( "coins consisting of dimes and nickels that totaled $11.65. Write a system of
\n" ); document.write( "equations to determine how many dimes, d, and how many nickels, n, Alyssa had in
\n" ); document.write( "her change jar? Then solve the system of equations. \n" ); document.write( "
Algebra.Com's Answer #840997 by ankor@dixie-net.com(22740)\"\" \"About 
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Alyssa emptied out her change jar to buy a new binder for school.
\n" ); document.write( " She found 147 coins consisting of dimes and nickels that totaled $11.65.
\n" ); document.write( " Write a system of equations to determine how many dimes, d, and how many nickels, n, Alyssa had in her change jar?
\n" ); document.write( " Then solve the system of equations.
\n" ); document.write( ":
\n" ); document.write( "let n - no. of nickels
\n" ); document.write( "let d = no. of dimes
\n" ); document.write( "Write an equation for each statement
\n" ); document.write( "\" She found 147 coins consisting of dimes and nickels\"
\n" ); document.write( "n + d = 147
\n" ); document.write( " \"that totaled $11.65.\"
\n" ); document.write( ".05n + .10d = 11.65
\n" ); document.write( ":
\n" ); document.write( "Two equations, multiply the 2nd one by 10
\n" ); document.write( "n + d = 147
\n" ); document.write( ".5n + 1d = 116.5
\n" ); document.write( "------------------subtraction eliminates d, find n
\n" ); document.write( ".5n + 0 = 30.5
\n" ); document.write( "n = 30.5/.5
\n" ); document.write( "n = 61 nickels
\n" ); document.write( ":
\n" ); document.write( "find the dimes
\n" ); document.write( "147 - 61 = 86 dimes
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check in the 2nd original equation
\n" ); document.write( ".05(61) + .10(86) =
\n" ); document.write( "3.05 + 8.60 = 11.65 \n" ); document.write( "
\n" );